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145399751952 = 24371373455993
BaseRepresentation
bin1000011101101010000…
…0000010010100010000
3111220022011021200220020
42013122200002110100
54340234314030302
6150443513143440
713335066333240
oct2073240022420
9456264250806
10145399751952
1156733407764
122421a0bab80
13109324a62b0
14707482bb20
153baecdcebc
hex21da802510

145399751952 has 160 divisors (see below), whose sum is σ = 468630505728. Its totient is φ = 37821800448.

The previous prime is 145399751927. The next prime is 145399751963. The reversal of 145399751952 is 259157993541.

It is a super-2 number, since 2×1453997519522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90868 + ... + 546860.

Almost surely, 2145399751952 is an apocalyptic number.

145399751952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145399751952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234315252864).

145399751952 is an abundant number, since it is smaller than the sum of its proper divisors (323230753776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145399751952 is a wasteful number, since it uses less digits than its factorization.

145399751952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456097 (or 456091 counting only the distinct ones).

The product of its digits is 15309000, while the sum is 60.

The spelling of 145399751952 in words is "one hundred forty-five billion, three hundred ninety-nine million, seven hundred fifty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 182 208 219 273 292 312 336 364 438 511 546 584 624 728 876 949 1022 1092 1168 1456 1533 1752 1898 2044 2184 2847 3066 3504 3796 4088 4368 5694 6132 6643 7592 8176 11388 12264 13286 15184 19929 22776 24528 26572 39858 45552 53144 79716 106288 159432 318864 455993 911986 1367979 1823972 2735958 3191951 3647944 5471916 5927909 6383902 7295888 9575853 10943832 11855818 12767804 17783727 19151706 21887664 23711636 25535608 33287489 35567454 38303412 41495363 47423272 51071216 66574978 71134908 76606824 82990726 94846544 99862467 124486089 133149956 142269816 153213648 165981452 199724934 233012423 248972178 266299912 284539632 331962904 399449868 432737357 466024846 497944356 532599824 663925808 699037269 798899736 865474714 932049692 995888712 1298212071 1398074538 1597799472 1730949428 1864099384 1991777424 2596424142 2796149076 3029161499 3461898856 3728198768 5192848284 5592298152 6058322998 6923797712 9087484497 10385696568 11184596304 12116645996 18174968994 20771393136 24233291992 36349937988 48466583984 72699875976 145399751952